Question

Make a tree diagram to show all possible arrangements of the letters in the word CARS. If each of the letters is ordered randomly, what is the fractional probability of writing the letters C-A-R-S in that order?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The tree diagram for all possible arrangements of the letters in the word CARS is as follows:

C
/ | \ \
A R S
/ | | \
R S A R
| | | \
S A R S A R

There are 4! = 24 possible arrangements of the letters CARS.

Since there is only one way to arrange the letters C-A-R-S in order, the probability of writing the letters in that specific order is 1/24.